摘要
在Kullback-Leibler距离的基础上,对Kullback-Leibler距离进行了改进,给出了最小的Kullback-Leibler距离,并讨论了它的性质.探讨了两个不同概率密度函数的差异程度,得到了广义Gaussian分布最小的Kullback-Leibler距离,并作为特例得到了Laplacian分布和Gaussian分布最小的Kullback-Leibler距离.
In this paper,it gives the exact definition of the minimum Kullback-Leibler distance between two different distribution functions. The properties of the minimum Kullback-Leibler distance are discussed. The difference degree of two different probability density function are discussed. The minimum Kullback-Leibler distance between two different generalized Gaussian distribution are obtained. The minimum Kullback-Leibler distance of Laplacian distribution,Gaussian distribution are derived.
作者
朱成莲
ZHU Cheng-lian(School of Mathematical Science, Huaiyin Normal University, Huaian Jiangsu 223300, Chin)
出处
《淮阴师范学院学报（自然科学版）》
CAS
2017年第3期189-194,共6页
Journal of Huaiyin Teachers College;Natural Science Edition
基金
国家自然科学基金项目(11401245)
江苏省自然科学基金项目(BK20130412)
淮安市科技支撑(农业)项目(SN13050)
